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讲座4:对偶问题的次梯度项目

Lecture 4: Project Subgradient For Dual Problem
课程网址: http://videolectures.net/stanfordee364bs08_boyd_lec04/  
主讲教师: Boyd Stephen P
开课单位: 斯坦福大学
开课时间: 2010-07-21
课程语种: 英语
中文简介:
当然,如果严格可行,我们需要强有力的二元性。我们将拥有斯莱特的条件和强大的二元性。这给了你零二元性的差距,我猜如果你没有,那么你就根本无法解决这个问题,因为最优值甚至不一样。因此,我们假设这一点。事实上,不仅仅是这些。大锤的情况是这样的。您需要的是,当您找到lambda*时,您需要的是lambda*处的拉格朗日在x中应该有一个唯一的极小值。如果是这样,那么x实际上是x*在这里。可以?所以情况就是这样。…
课程简介: Sure, we’re going to need strong duality holds if it were strictly feasible. We’d have Slater’s condition and strong duality would hold. That gives you zero duality gap and I guess if you don’t have that, then you can’t solve this at all, because the optimal values aren’t even the same. So let’s assume that. There’s more, actually, to it than just that. What the sledgehammer condition is is this. What you’ll need is that when you find lambda*, what you want is that the Lagrangian at lambda* should have a unique minimizer in x. If it does, then that x is actually x* up here. Okay? So that’s the condition. ...  
关 键 词: 零对偶间隙; 斯莱特; 最优值
课程来源: 视频讲座网
最后编审: 2020-06-12:邬启凡(课程编辑志愿者)
阅读次数: 65